摘要
We work out the full correspondence between the Kepler problem and the isotropic harmonic oscillator in Newtonian mechanics by means of a special transformation. We then apply this to get all the details of the Kepler problem from the simple solution of the isotropic harmonic oscillator. The usefulness of this transformation is also exemplified by finding the counterpart of the Laplace-Runge-Lenz vector for the isotropic harmonic oscillator.
原文 | 英語 |
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頁(從 - 到) | 713-219 |
頁數 | 495 |
期刊 | Chinese Journal of Physics |
卷 | 50 |
發行號 | 5 |
出版狀態 | 已發佈 - 2012 |
ASJC Scopus subject areas
- 一般物理與天文學